On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups

DOI10.1016/j.bulsci.2007.09.001zbMath1151.22009OpenAlexW2043477997WikidataQ115359993 ScholiaQ115359993MaRDI QIDQ950538

Nour Ben Salah, Ali Baklouti

Publication date: 30 October 2008

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2007.09.001

zbMATH Keywords

Plancherel formulaunitary representationnilpotent Lie grouppolarizationuncertainty principle

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items

Generalized analogs of the Heisenberg uncertainty inequality ⋮ A generalized Beurling theorem for some Lie groups ⋮ Uncertainty inequalities for certain connected Lie groups ⋮ The \(L^{p}-L^{q}\) analog of Morgan's theorem on exponential solvable Lie groups ⋮ Unnamed Item ⋮ Beurling's theorem for nilpotent Lie groups ⋮ VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS

Cites Work

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• On theorems of Beurling and Hardy for the Euclidean motion groups
• A uniqueness theorem of Beurling for Fourier transform pairs
• An analogue of the Hardy theorem for the Cartan motion group
• An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups
• Hardy's uncertainty principle on semisimple groups
• On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups
• Uncertainty principles on certain Lie groups
• Hardy’s theorem for the 𝑛-dimensional Euclidean motion group
• Hardy's Uncertainty Principle on Certain Lie Groups
• An uncertainty principle like Hardy's theorem for nilpotent Lie groups
• A Theorem Concerning Fourier Transforms
• An analogue of Hardy’s theorem for semi-simple Lie groups
• The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups
• Uncertainty principles on two step nilpotent Lie groups